A compact formulation of the set of tours neither in a graph nor its complement is presented and illustrates a general methodology proposed for constructing polyhedral models of decision problems based upon permutations, projection and lifting techniques. Directed Hamilton tours on n vertex graphs are interpreted as (n-1)- permutations. Sets of extrema of Birkhoff polyhedra are mapped to tours ...

A new four elements compact antenna array is presented and discussed to achieve enhanced phase resolution without sacrificing the array output power. This structure inspired by the Ormia Ochracea’s coupled ears. The analogy between this insect acute directional hearing capabilities and the electrically compact antenna array is used to enhance the array sensitivity to direction of arrival estima...

This paper explores several topics related to Woodin’s HOD conjecture. We improve the large cardinal hypothesis of dichotomy theorem from an extendible a strongly compact cardinal. show that assuming there is and holds, no elementary embedding HOD, settling question Woodin. equivalent uniqueness property embeddings levels cumulative hierarchy. prove holds if only every regular above first carri...